In this chapter, we introduce notations, definitions, and preliminary facts that will be used in the remainder of this book. Some notations and definitions from the fractional calculus, some …
M Benchohra, JE Lazreg - Stud. Univ. Babes-Bolyai Math, 2017 - researchgate.net
Existence and Ulam stability for nonlinear implicit fractional differential equations with Hadamard derivative Page 1 Stud. Univ. Babes-Bolyai Math. 62(2017), No. 1, 27–38 DOI …
M Benchohra, S Bouriah - Moroccan Journal of Pure and Applied Analysis, 2015 - Springer
In this paper, we establish sufficient conditions for the existence and stability of solutions for a class of boundary value problem for implicit fractional differential equations with Caputo …
Beginning around the year 1980, the topic of approximate homomorphisms and derivations and their stability theory in the field of functional equations and inequalities was taken up by …
We prove a very general fixed point theorem in the space of functions taking values in a random normed space (RN-space). Next, we show several of its consequences and, among …
We consider a nonlinear Cauchy problem involving the Ψ-Hilfer stochastic fractional derivative with uncertainty, and we give a stability result. Using fixed point theory, we are …
The Ulam stability of various equations (eg, differential, difference, integral, and functional) concerns the following issue: how much does an approximate solution of an equation differ …
YJ Cho - Advances in Real and Complex Analysis with …, 2017 - Springer
Abstract Fixed Point Theory is divided into the following three major areas: Topological Fixed Point Theory, which came from Brouwer's fixed point theorem in 1912; Metric Fixed …